Articles

• MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs

  Lulu Zhang, Tao Luo, Yaoyu Zhang, Weinan E, Zhi-Qin John Xu, Zheng Ma

  299-335

  https://doi.org/10.4208/cicp.OA-2021-0257

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  306973 3552

• Frame Invariance and Scalability of Neural Operators for Partial Differential Equations

  Muhammad I. Zafar, Jiequn Han, Xu-Hui Zhou, Heng Xiao

  336-363

  https://doi.org/10.4208/cicp.OA-2021-0256

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  303699 3396

• Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws

  Jiayin Li, Chi-Wang Shu, Jianxian Qiu

  364-400

  https://doi.org/10.4208/cicp.OA-2022-0030

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  302869 3312

• Solving Time Dependent Fokker-Planck Equations via Temporal Normalizing Flow

  Xiaodong Feng, Li Zeng, Tao Zhou

  401-423

  https://doi.org/10.4208/cicp.OA-2022-0090

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  308720 3523

• An Improved Peridynamic Model with Energy-Based Micromodulus Correction Method for Fracture in Particle Reinforced Composites

  Zihao Yang, Shaoqi Zheng, Fei Han, Shangkun Shen, Xiaofei Guan

  424-449

  https://doi.org/10.4208/cicp.OA-2022-0012

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  303080 3381

• A Quantitative Comparison of Physical Accuracy and Numerical Stability of Lattice Boltzmann Color Gradient and Pseudopotential Multicomponent Models for Microfluidic Applications

  Karun P. N. Datadien, Gianluca Di Staso, Herman M. A. Wijshoff, Federico Toschi

  450-489

  https://doi.org/10.4208/cicp.OA-2021-0204

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  302042 3326

• A NURBS-Enhanced Finite Volume Method for Steady Euler Equations with Goal-Oriented $h$-Adaptivity

  Xucheng Meng, Guanghui Hu

  490-523

  https://doi.org/10.4208/cicp.OA-2021-0143

  [An open-access article; the PDF is free to any online user.]

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  303002 3781

• A Holomorphic Operator Function Approach for the Transmission Eigenvalue Problem of Elastic Waves

  Yingxia Xi, Xia Ji

  524-546

  https://doi.org/10.4208/cicp.OA-2022-0050

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  301570 3306

• A RKDG Method for 2D Lagrangian Ideal Magnetohydrodynamics Equations with Exactly Divergence-Free Magnetic Field

  Shijun Zou, Xiaolong Zhao, Xijun Yu, Zihuan Dai

  547-582

  https://doi.org/10.4208/cicp.OA-2021-0130

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  301264 3324

• Modeling of Bound Electron Effects in Particle-in-Cell Simulation

  Xiangyan An, Min Chen, Zheng-Ming Sheng, Jie Zhang

  583-594

  https://doi.org/10.4208/cicp.OA-2021-0258

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  299742 3152